Interval Notation Worksheet

Interval Notation Practice

Read each question carefully and provide your answer using interval notation where appropriate. Show all your work for full credit.

1. Express the following inequalities using interval notation:

a) x > 5

b) x ≤ -2

c) -3 < x ≤ 7

d) x ≠ 0

2. Graph the following intervals on the number line provided and write the corresponding inequality:

a) (-∞, 4]

b) (-1, 6)

3. Match each description with its correct interval notation.

4. Fill in the blanks with the correct interval notation for the union or intersection.

a) If A = [1, 5) and B = (3, 7], then A ∪ B =  

b) If C = (-∞, 4] and D = [-1, ∞), then C ∩ D =  

c) If E = (-3, 0) and F = [0, 2), then E ∪ F =  

5. Which of the following represents the set of all real numbers x such that x < -3 or x ≥ 2?